SOLUTION: The denominator of a rational number is five more than the numerator.if three is added to both numerator and denominator the number becomes 1/2.Find the rational number.

Algebra ->  Rational-functions -> SOLUTION: The denominator of a rational number is five more than the numerator.if three is added to both numerator and denominator the number becomes 1/2.Find the rational number.      Log On


   

Question 449630: The denominator of a rational number is five more than the numerator.if three is added to both numerator and denominator the number becomes 1/2.Find the rational number.
Found 2 solutions by edjones, ankor@dixie-net.com:
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
n/d
n/(n+5)
(n+3)/(n+8)=1/2
n+3=(n+8)/2
2n+6=n+8
n=2
d=7
.
2/7 the rational number.
.
Ed

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The denominator of a rational number is five more than the numerator.
d = n + 5
:
if three is added to both numerator and denominator the number becomes 1/2.
%28n%2B3%29%2F%28d%2B3%29 = 1%2F2
Cross multiply
2(n+3) = d + 3
2n + 6 = d + 3
2n = d + 3 - 6
2n = d - 3
Replace d with (n+5)
2n = (n+5) - 3
2n - n = 5 - 3
n = 2
then
d = 2+5
d = 7
:
2%2F7 is the number
:
:
Check this, if you add 3 to both numerator and denominator 5/10 = 1/2